Analytic elements in p-adic analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1995
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 390 S. |
| ISBN: | 9810222343 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804125725455810560 |
|---|---|
| adam_text | CONTENTS
Introduction v
1. Absolute values and norms 1
2. Infraconnected sets 11
3. Monotonous and circular niters 18
4. Ultrametric absolute values and valuation functions v(h, fi) on K{x) 27
5. Hensel Lemma 34
6. Ultrametric field extensions 39
7. Ultraproducts and spherically complete extensions 43
8. A study inCp, the pn th roots of 1 47
9. Algebras R(D) 51
10. The analytic elements 54
11. Composition of analytic elements 61
12. Mult(H{D),UD) 67
13. Power series 70
14. Factorization of analytic elements 78
15. The Mittag Leffler Theorem 82
16. Maximal ideals of codimension 1 89
17. Dual of a space H(D) 91
18. Algebras H(D) 95
19. Derivative of analytic elements 102
20. Valuation functions for analytic elements 109
21. Elements vanishing along a filter 114
22. Quasi minorated elements 120
23. Values and zeros of power series 124
24. Quasi invertible elements 132
25. Zeros Theorem for power series 138
26. Image of a disk 145
27. Strictly injective analytic elements 148
28. Logarithm and exponential 155
29. A finite increasing property 159
30. Maximum principle 167
31. Analytic elements meromorphic in a hole 171
ix
x Contents
32. Motzkin factorization 175
33. Applications of the Motzkin factorization 190
34. Maximum in a circle with holes 194
35. T filters and T sequences 199
36. Examples and counter examples about T filters 204
37. Characteristic property of the T filters 215
38. Applications of T filters 225
39. Integrally closed algebras H{D) 232
40. Absolute values on H(D) 243
41. Distinguished circular filters 248
42. Maximal ideals of infinite codimension 256
43. Idempotent T sequences 261
44. T polar sequences 269
45. Analytic extension through a T filter 272
46. Algebra |^ 284
47. Meromorphic products 287
48. Collapsing meromorphic products 294
49. Injectivity, Mittag Leffler series and Motzkin products 298
50. Analytic functions and analytic elements 308
51. Infinite van der Monde matrices 316
52. p adic analytic interpolation 324
53. Analytic elements with a zero derivative 328
54. Generalities on the differential equation y = fy in H(D) 334
55. The differential equation y — fy in algebras H(D) 338
56. The equation y = fy in zero residue characteristic 341
57. The equation y = fy in CP with / not quasi invertible 346
58. The equation y = fy in (Dp with / quasi invertible 352
59. Residues and equation y = fy 360
60. Equation g = fg with gn € H(D) 369
61. The p adic Fourier transform 375
References 380
Definitions 385
Notations 388
|
| any_adam_object | 1 |
| author | Escassut, Alain |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.74 |
| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV011226043 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:06:07Z |
| institution | BVB |
| isbn | 9810222343 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007532308 |
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| owner_facet | DE-12 DE-11 |
| physical | X, 390 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Escassut, Alain Verfasser aut Analytic elements in p-adic analysis Alain Escassut Singapore [u.a.] World Scientific 1995 X, 390 S. txt rdacontent n rdamedia nc rdacarrier Analyse p-adique ram p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007532308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Escassut, Alain Analytic elements in p-adic analysis Analyse p-adique ram p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4252360-6 |
| title | Analytic elements in p-adic analysis |
| title_auth | Analytic elements in p-adic analysis |
| title_exact_search | Analytic elements in p-adic analysis |
| title_full | Analytic elements in p-adic analysis Alain Escassut |
| title_fullStr | Analytic elements in p-adic analysis Alain Escassut |
| title_full_unstemmed | Analytic elements in p-adic analysis Alain Escassut |
| title_short | Analytic elements in p-adic analysis |
| title_sort | analytic elements in p adic analysis |
| topic | Analyse p-adique ram p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | Analyse p-adique p-adic analysis p-adische Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007532308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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